Magma V2.19-8 Tue Aug 20 2013 23:45:21 on localhost [Seed = 4155609657] Type ? for help. Type -D to quit. Loading file "L14n70__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n70 geometric_solution 9.19166808 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 7 0 -6 -1 7 -7 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695262120740 0.482028685370 0 4 5 4 0132 0132 0132 3120 1 1 1 1 0 0 0 0 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 0 7 1 6 0 -7 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542994879488 0.329874230367 6 0 7 0 0132 0132 0132 0213 0 1 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695262120740 0.482028685370 8 7 7 0 0132 0132 0321 0132 0 1 1 1 0 -1 0 1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -6 0 0 6 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028612231674 0.673467969825 1 1 9 10 3120 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 7 0 7 -7 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.907104092701 0.410657140140 6 10 9 1 2310 0132 2103 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351296259163 0.599542478512 2 8 5 10 0132 0321 3201 1023 1 1 1 1 0 0 -1 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673467969825 0.971387768326 9 3 3 2 1230 0132 0321 0132 0 1 1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.028612231674 0.673467969825 3 9 10 6 0132 1230 2103 0321 1 1 1 1 0 -1 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 6 0 -6 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310918521844 0.924939733791 5 7 8 4 2103 3012 3012 0132 1 1 1 1 0 0 0 0 0 0 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 0 6 0 -6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240735862079 0.262535526916 8 5 4 6 2103 0132 0132 1023 1 1 1 1 0 0 0 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 -6 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512579578756 1.104335385131 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_0']), 'c_1010_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 132358/273325*c_1001_1^3*c_1001_2 - 816906/273325*c_1001_1^3 - 3040214/273325*c_1001_1^2*c_1001_2 + 1533102/273325*c_1001_1^2 + 4173942/273325*c_1001_1*c_1001_2 + 4448994/273325*c_1001_1 + 2520904/273325*c_1001_2 - 4024872/273325, c_0011_0 - 1, c_0011_10 - 1/8*c_1001_1^3*c_1001_2 - 1/8*c_1001_1^3 - 1/8*c_1001_1^2*c_1001_2 - 1/8*c_1001_1^2 + 1/8*c_1001_1*c_1001_2 + 1/8*c_1001_1, c_0011_3 + 1/8*c_1001_1^3*c_1001_2 - 1/8*c_1001_1^3 - 3/8*c_1001_1^2*c_1001_2 - 5/8*c_1001_1^2 - 13/8*c_1001_1*c_1001_2 + 5/8*c_1001_1 + 3, c_0011_9 + 1/8*c_1001_1^3*c_1001_2 + 1/8*c_1001_1^3 + 5/8*c_1001_1^2*c_1001_2 - 3/8*c_1001_1^2 - 5/8*c_1001_1*c_1001_2 - 13/8*c_1001_1 - 2*c_1001_2, c_0101_0 - 1/8*c_1001_1^3*c_1001_2 - 1/8*c_1001_1^3 - 5/8*c_1001_1^2*c_1001_2 + 3/8*c_1001_1^2 + 5/8*c_1001_1*c_1001_2 + 13/8*c_1001_1 + 2*c_1001_2, c_0101_1 - 1/8*c_1001_1^3*c_1001_2 + 1/8*c_1001_1^3 + 3/8*c_1001_1^2*c_1001_2 + 5/8*c_1001_1^2 + 13/8*c_1001_1*c_1001_2 - 5/8*c_1001_1 - 3, c_0101_4 - 1/8*c_1001_1^3*c_1001_2 + 1/8*c_1001_1^3 + 3/8*c_1001_1^2*c_1001_2 + 5/8*c_1001_1^2 + 9/8*c_1001_1*c_1001_2 - 1/8*c_1001_1 - 1, c_0101_5 + 1/4*c_1001_1^3*c_1001_2 + 1/4*c_1001_1^2*c_1001_2 - 1/2*c_1001_1^2 - 3/4*c_1001_1*c_1001_2 - 1/2*c_1001_1 - 1/2*c_1001_2 + 1/2, c_1001_0 - 1, c_1001_1^4 + 4*c_1001_1^3*c_1001_2 + c_1001_1^3 + 4*c_1001_1^2*c_1001_2 - 9*c_1001_1^2 - 12*c_1001_1*c_1001_2 - 8*c_1001_1 - 8*c_1001_2 + 8, c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB